Solve this system of equations by substitution
x=y+3
x+7=2y

Answer:

\([(-5)-\frac{9}{(-3)^3}](-6)+(-6)=22\)

Step-by-step explanation:

\([\left(-5\right)-\frac{9}{\left(-3\right)^3}]\left(-6\right)+\left(-6\right)\)

Remove parenthesis: \((-a)=-a\)

\(=-[-5-\frac{9}{\left(-3\right)^3}] * 6-6\)

\([-5-\frac{9}{\left(-3\right)^3}]*6 = -28\)

\(= - (-28) - 6\)

Apply rule: \(- (-a) = a\)

\(= 28 - 6\)

Subtract the numbers: \(28 - 6 = 22\)

Final answer:

\(= 22\)

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

The first 10 terms sum in the geometric series is 5115.

The first term of geometric series = 5

Common ratio = 2

First, let us discuss how to calculate the sum of n terms of GP. Assume the sum of the first n terms of a GP with first term a and common ratio r. Then the first 'n' terms of GP are of form a, ar, ar², ... ar^(n-1). Let S be the sum of the GP of n terms. Then:

Sₙ = a + ar + ar² + ... + ar^(n-1) ... (1)

Multiply both sides by r:

rSₙ = ar + ar² + ... + arⁿ ... (2)

Subtracting equation (1) from equation (2):

rSₙ - Sₙ = (ar + ar² + ... + arⁿ) - [a + ar + ar² + ... + ar^(n-1)]

Sₙ (r - 1) = arⁿ - a

Sₙ (r - 1) = a(rⁿ - 1)

Sₙ = a(rⁿ - 1)/(r - 1)

Note that, here, r ≠ 1.

Sₙ = -a(1 - rⁿ)/(-(1 - r)) = a(1 - rⁿ)/(1 - r).

Sₙ = a[1-rⁿ]/[1-r]

S₁₀ = 5[1-2¹⁰]/[1-2]

S₁₀ = 5[1023]

S₁₀ = 5,115

--The given question is incorrect, the correct question is

"The first term in a geometric series is 5 and the common ratio is 2. Find the sum of the first 10 terms in the series."--

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Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

The probability that exactly 7 customers are very satisfied is 0.75.

So, the probability that exactly 7 customers are satisfied.

We know that a total of 93% of customers are satisfied.

Then, get 93% of 10:

10/100 × 93

0.1 × 93

9.3

Probability formula: P(E) = Favourable events/Total events

F(E) = 7 and T(E) = 9.3

Now, calculate as follows:

P(E) = Favourable events/Total events

P(E) = 7/9.3

P(E) = 0.75

Therefore, the probability that exactly 7 customers are very satisfied is 0.75.

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Correct question:
Use excel to find the following binomial distribution probabilities. a hotel claims that 93% of its customers are very satisfied with its service. complete parts a through e below based on a random sample of 10 customers. (4 points) a) what is the probability that exactly 7 customers are very satisfied?

Answer:

what type of help......

Bisectors are the special segments that pass through the mid point of the lines or line segments.

A bisector is the line, line segment or ray that intercepts and/or divided lines or line segments into two equal line segments and thus passes through the midpoint of the given line segment or line segments.

There can be infinite bisector for one particular line or line segment at multiple angles.

The bisector that intercepts and/or cuts a line in half, passes through the midpoint when it is perpendicular (making an angle of 90°) to the line segment is known as the Perpendicular Bisector.

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Answer:

Obtuse angle = 126 degrees

Step-by-step explanation:

7+3 = 10

180/10 = 18

(18)(7) = 126 degrees

Answer:

The product is  -81 t² + 16

Step-by-step explanation:

The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant

Multiply (ax) by (cx) ⇒ 1st × 1st

Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears

Add the two products ⇒ like terms

Multiply (b) by (d) ⇒ 2nd × 2nd

Let us find the product of (9 t - 4) and (-9 t - 4)

Multiply the 1st two terms

∵ (9 t)(-9 t) = -81 t²

Multiply the ext-reams

∵ (9 t)(-4) = -36 t

Multiply the nears

∵ (-4)(-9 t) = 36 t

Add the like terms

∵ -36 t + 36 t = 0

Multiply the 2nd two terms

∵ (-4)(-4) = 16

Write the answer

∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16

∴ (9 t - 4)(-9 t - 4) = -81 t² + 16

The product is  -81 t² + 16

Answer:

y = 10.5x + 35

Step-by-step explanation:

Since the roof is 35 feet tall, it will be the y-intercept (since it is constant). The number of floors can change, so it will be the x variable.

The final equation is y = 10.5x+35

The final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

To express the given description as a symbolic expression and then convert it into an exponential expression in fractional form, we'll follow these steps:

Step 1: Symbolic Expression

The description states "the eighth root of fifty-seven to the sixth degree." Let's denote this as √[57]^(1/8)^6.

Step 2: Removing Radical

To eliminate the radical (√), we can rewrite it as a fractional exponent. The numerator of the fractional exponent corresponds to the power (6) applied to the base, and the denominator corresponds to the index of the root (8).

So, the expression becomes (57^(1/8))^6.

Step 3: Simplifying Exponents

To simplify the exponent, we multiply the powers:

(57^((1/8)*6))

Simplifying further:

(57^(6/8))

Step 4: Fractional Form

The exponent 6/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

(57^(3/4))

Therefore, the final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

This means that we raise 57 to the power of 3/4 to represent the original description. The fraction 3/4 indicates taking the eighth root of 57 and then raising it to the sixth power.

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The image is missing. The complete question along with the image is attached.

The angles ∠PTQ and ∠QTS are supplementary, so they add to 180°. Hence, option B is the correct option.

Angles on a straight line will always add up to 180°, that is, they are supplementary angles.

In the figure, we are given a straight line PS. We are asked to determine the relation between ∠PTQ and ∠QTS.

As we can see ∠QTS is made up of two angels, ∠QTR and ∠RTS.

The three angles, ∠PTQ, ∠QTR, and ∠RTS constitute the straight line PS.

∴ ∠PTQ + ∠QTR + ∠RTS = 180° (As angles on a straight line are supplementary, that is, they add to 180°)

Replacing ∠QTS = ∠QTR + ∠RTS in the above equation, we get

∠PTQ + ∠QTS = 180°.

∴ The angles ∠PTQ and ∠QTS are supplementary, so they add to 180°. Hence, option B is the correct option.

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Step-by-step explanation:

Angle x = 57.5°

Answer:

4

Step-by-step explanation:

35.427 the tens place is after 35. and four is there, so 4 is in the tenths place

The digit in the tenth place is 2.

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 thousandths place value

We have,

In the number 35.427, the digit in the tenth place is 2.

The place values of the digits in this number are:

3 is in the tens place

5 is in the ones place

4 is in the tenths place

2 is in the hundredths place

7 is in the thousandths place

Therefore,

The digit in the tenth place is 2.

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Hence, there are 725,760 ways to seat the ten people together in a row, taking into account the two individuals who insist on sitting side-by-side.

If two of the ten people insist on sitting side-by-side, we can consider them as a single entity or a pair. So, essentially, we have nine entities (including the pair) to be seated in a row.

The number of ways to arrange these nine entities in a row is 9!, which is the factorial of 9.

However, within the pair, the two individuals can be arranged in 2! = 2 ways.

Therefore, the total number of ways to seat the ten people together, considering the pair as one entity, is 9! * 2!.

Simplifying this expression:

9! * 2! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 * 2 = 725,760

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The selling price of the DVD that has a cost of 15 dollars is 19 dollars and 50 cents.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A store owner paid $15 for a DVD.

He marked up the price of the DVD by 30%.

The cost price is $15.

Then the selling price will be given as

Selling price = 15 × 1.3

Selling price = $19.50

The selling price is 19 dollars and 50 cents.

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The equivalent expression to given expression is 1/3.

Equivalent expressions are defined as algebraic expressions which give the same resulting expression. An algebraic expression (or) a variable expression is defined as a combination of terms by the operations such as addition, subtraction, multiplication, division.

Here, given expression

    \(\sqrt{2/x^2} X \sqrt{x^2/18}\)

=   \(\sqrt{2 X x^2/18x^2}\)

=    \(\sqrt{1/9}\)

=   1/3

Thus, the equivalent expression to given expression is 1/3.

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Answer:

x = 3

Step-by-step explanation:

The tangents drawn from a point outside a circle are of equal length.

     2x + 1 + 9 = x + 3 + 10

         2x + 10 = x + 13

Now, subtract 10 from both sides,

                 2x = x + 13 - 10

                2x = x + 3

Subtract 'x' from both the sides,

         2x - x = 3

                 \(\boxed{\bf x = 3}\)

With a standard deviation of 7.1%, if the bank chooses 600 consumers at random, we may assume that 8% of them won't pay on time.

The binomial distribution with parameters n = 600 and p = 0.08 is the sample distribution model for the percentage of clients who might not make payments on time.

The distribution's mean is equivalent to n * p = 600 * 0.08 = 48.

The square root of n * p * (1 - p) = sqrt(600 * 0.08 * 0.92) = sqrt(49.92) 7.1 represents the standard deviation.

In other words, if the bank randomly selects 600 clients, we can anticipate that 8% of those clients will not make payments on time, with a standard deviation of 7.1%.

If we repeatedly went through this process, the standard deviation shows how much the fraction of non-payers would change. Taking this into account is crucial when making choices based on the outcomes sample.

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The exact behavior and consequences depend on the Operations system's process management mechanisms and the actions taken by process z or the system's process manager.

When process y dies, the Operations system handles the termination of the process and performs certain actions related to its termination. Here are the likely outcomes when process y, with process x as its child and process z as its parent, dies:

1. Process y's termination: When process y dies, the operating system marks it as terminated and frees up any system resources that were allocated to it. This includes releasing memory, closing file descriptors, and removing its entry from the process table.

2. Parent-child relationship: Since process x is the child of process y, the operating system updates the parent-child relationship. Typically, when a parent process dies, the child process is reassigned to another process called the init process or is terminated if no other process adopts it. The exact behavior depends on the operating system's process management policies.

3. Process z's status: Process z, being the parent of process y, may receive a notification or a signal indicating the termination of its child process. The operating system usually sends a SIGCHLD signal to the parent process, allowing it to handle the termination of its child process appropriately. Process z can choose to ignore the signal or perform actions such as cleaning up resources or spawning a new child process to replace the terminated one.

4. Orphaned process: If process z does not handle the termination of process y appropriately or if process z itself terminates before process y, process x becomes an orphaned process. Orphaned processes are typically adopted by the init process or the system's process manager, ensuring that they are handled and terminated properly.

In summary, when process y dies, the operating system marks it as terminated, updates the parent-child relationship, and may notify process z. The exact behavior and consequences depend on the operating system's process management mechanisms and the actions taken by process z or the system's process manager.

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Answer:

$81,728

Step-by-step explanation:

For reference: 1 pound = 16 ounces.

Therefore, 4 pounds of gold must be 16 * 4 = 64 ounces.

Since each ounce is $1,277, we must have the total cost of the gold to be $1,277 * 64 = $81,728.

The key word here is "per", which means to multiply.

Answer:Answer:5,108

Step-by-step explanation:

Answer:

\(m=-3\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the 2 coordinates into the slope formula to find slope m:

\(m=\frac{5-(-1)}{-5-(-3)}\)

\(m=\frac{5+1}{-5+3}\)

\(m=\frac{6}{-2}\)

\(m=-3\)

The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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Answer:

4. 120

5. 20

6. 55

Step-by-step explanation:

All straight lines have a degree of 180, so the angle measures all have to add up to 180 degrees.

Answer:

4) 120°

5) 20°

6) 55°

Step-by-step explanation:

4) 180°-60°=120°

5) 180°-160°=20°

6) 90°+35 = 125°

   180°-125°=55°

Answer: 7z+6

Step-by-step explanation:

Answer:

Density = 8g/cm³

Step-by-step explanation:

Density = Mass/Volume

Given the following

Mass = 960g

Volume = 120cm^3

Substitute

Density = 960g/120cm^3

Density = 8g/cm³

Answer:

i think 45 but im not to sure

Step-by-step explanation:

Answer:

c i think or it might be a

Step-by-step explanation: